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Oscillation of third order trinomial delay differential equations. (English) Zbl 1252.34074

The authors study the asymptotic behavior of solutions to a class of third-order linear trinomial delay differential equations of the form \[ y'''(t)+p(t)y'(t)+q(t)y(\tau(t))=0, \] where \(p,q,\tau\in C([t_0,\infty))\), and \(p(t)\leq 0\), \(q(t)>0\) for all \(t\in[t_0,\infty)\); \(\tau(t)\leq t\) for all \(t\in[t_0,\infty)\), and \(\lim_{t\to\infty}\tau(t)=\infty\).

MSC:

34K11 Oscillation theory of functional-differential equations
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